(U2 B2 U) // EO (3/3)
(R F' L2 U2 F' B2 R) // DR 2c3 4e (7/10)
U2 L2 B^' L2 B^' D2 B // HTR (7/17)
L2 U2 F^2 R2 F2 R2 D2 F2 // Slice (8/25)

^: w // Solved (+0/25)

Expected that DR to be better

U2 D2 B D // EO (4/4)
(D2 B2 F L F) // DR 4b5 (5/9)
but (B2 L2 B L B) // 4a1
Didn't check variation...

(D R F L U') // EO (5/5)
(R B U2 F' R F' R) // DR 2c3 4e (7/12)
D2 F L2 F' + R2 F' // HTR (6/18)
L2 # D2 // E+S (2/20)

+: S2 // Leave E (2-1/21)
#: R2 U' D B2 U D' // Solved (6-1/26)

Didn't find any good DRs
Yeah, I guess I have to learn R U2 L trigger

(D F B U') // EO (4/4)
(L R' F R' B' R) // DR 4b2 4e (6/10)
D2 R2 F' R2 U2 B // HTR (6/16)
D2 F^2 D2 L2 F^2 L2 F2 // Slice (7/23)

^: w // Solved (+0/23)

U' D2 L' F' // EO (4/4)
L (U' F2 D' B2 R' U2 R') // DR 4a2 4e (8/12)
(U2 L2 U^ B2 U2 + F2 L2 D^' +) // HTR (8/20)
(F2 D2 + R2 F2) // Slice (4/24)

^: w // VR (+0/24)
+: E2 // Solved (6-5/25)

U D2 R' B' // EO (4/4)
D (U2 R [U2 L2 D F2 D]) // DR 4a1 4e (8/12)
R2 B2 L // HTR (3/15)

[] = - // DR flip 4b2 (-5/10)

R2 U^' F2 L2 R2 D^' + // new HTR (6/16)
R2 D2 + // Slice (2/18)

^: w // VR (+0/18)
+: E2 // Solved (4-3/19)

I think this has to be my best attempt to date. Used a flip and DR bounding to find this solution. Really proud :D
Maybe bounding is an overstatement, but I started and found the finish immediately.

I guess the new HTR can also be thought of as a DR extension where you insert M2s in a clever way. But clearing out the DR makes it easier to find.

(F U R U') // EO (4/4)
(L D2 L' U2 L') // DR 4b2 (5/9)
(F2 D2 L2 F^ R2 U2 L2 U2 F^) // HTR (9/18)
(U2 D2 R2 F^2 D2) // Slice (5/23)

^: w // Solved (+0/23)

Found this Slice in 21 on the same DR after time was up, but looks like +2:
(B2 + D2 L2 F) U2 F2 R2 B' + // HTR (8/17)
L2 D2 R2 D2 // Slice (4/21)

actually +1:
+: S // Solved (4-3/22)
Bounding does great stuff, almost got optimal DR-Finish

(B) L' B // EO (3/3)
U' R' B2 D2 F2 U2 D' R // DR 4b2 2e (8/11)
(' F2 +' L2 F2 U' + L2 U') // HTR (6/17)
(L2 - D2 L2 -') // E+S (3/20)

+: E // Leave S (4-2/22)
-: S // Solved (4/26)

Not that good for 4b2 2e

(R F' L' B') // EO (4/4)
(U2 D' L2 D L) // DR 4a2 (5/9)
(U2 B2 R2 U F2 U2 L2 U +) // HTR (8/17)
(F2 D2 + L2 R2 B2 R2) // Slice (6/23)

+: E2 // Solved (4-3/24)

B' U' L B2 D // EO (5/5)
F D2 R' D2 L' U2 L' B // DR 4b2 (8/13)
R (D2 B2 L') // HTR (4/17)
(U2 R2 D2 B2 U2 F2 U2 F2) // Slice (8/25)

+: M // VR (4-3/26)
^: w // Solved (+0/26)

(B' R' D) // EO (3/3)
(F D2 F' R) // DR 4b5 (4/7)
R2 B^ D2 F D2 L2 B^ D2 B' R2 B' // HTR (11/17)
R2 B^2 R2 U2 R2 U2 // Slice (6/24)

^: w // Solved (+0/24)

(D2 L U' F) // EO (4/4)
L' U2 R2 D' L' D' // DR 4b2 (6/10)
F2 D2 L B2 L // HTR (5/15)
F2 D2 +' B2 L2 D2 + L2 // Leave E (6/21)

+: E // Solved (4-2/23)

(U F' B2 D') // EO (4/4)
(L') B2 U2 B D2 F' R // DR 2c3 (7/11)
F^' + L2 F^ L2 U2 B' // HTR (6/17)
L2 U2 F2 + R2 // Slice (4/21)

^: w // VR (+0/21)
+: S2 // Solved (4-3/22)

F' D R U // EO (4/4)
F (R' F2 B' L' F') // DR 2c3 (6/10)
R (D2 R2 D2 R^' F2 U2 L^' +) // HTR (8/18)
(B2 D2 L2 + F2 D2 F2) // Slice (6/24)

^: w // VR (+0/24)
+: M2 // Solved (4-3/25)

(B' L R F) // EO (4/4)
(R D R' B2 L2 R D) // DR 2c3 (7/11)
U2 B2 L F2 L' D2 L + // HTR (7/18)
F2 L2 + F2 D2 L2 // Slice (5/23)

+: M2 // Solved (4-3/24)

(D' F' L) // EO (3/3)
(U) R2 D' B' U // DR 2c4 (5/8)
B2 D2 B R2 B2 U2 B^ U2 B^ U2 B // HTR (11/19)
U' D B2 U D' // Slice (5-2/22)

^: w // Solved (+1/23)

Nissy finds 22 on the DR on a questionable path

(U' D) R2 U // EO (4/4)
(B' L2 F U2 L) // DR 4b2 (5/9)
(F^2 U2 R2 F^' D2 L2 F^) // HTR (7/16)
(U2 D2 + R2 B^2 +) // E+S (4/20)

^: w // Leave E (+0/20)
+: E // Solved (4-4/20)

(B' R U2 F') // EO (4/4)
(L' R D' R U R) // DR 4b2 (6/10)
(B2 U^ L2 U^ +) R2 U' F2 B2 D' // HTR (9/19)
B2 R2 B2 L2 // Slice (5/23)

^: w // VR g (+0/23)
+: E2 // Solved (2-1/24)

Had another 2qt DR Finish in 24, but the 4qt solution is cooler

L R F' // EO (3/3)
(U) R' F2 R2 B2 D' // DR 4a3 (6/9)
R (B2 R^ F2 R^ +) // HTR (5/14)
(B2 U2 B2 F2 R2 + F2 D2 R2 +) // Slice (8-1/21)

^: w // VR u+f+g (+0/21)
+: M2 // Solved (6-4/23)

F' L F' D' F' // EO (5/5)
(L B2 L D2 L2 R U) // DR 2c3 (7/12)
(R) R' U2 F2 D2 F2 R // HTR (7/19)
B2 U2 R2 + U2 L2 D2 B2 + // Slice (7/26)

+: M2 // Solved (4-3/27)

D2 B R' U F // EO (5/5)
U F2 U2 L B2 L2 D // DR 2c3 (7/12)
(D2 R^' U2 R^' F2 R') // HTR (6/18)
(B2 D2 F2 R2 U2 R2) // Slice (6/24)

(R2 U2 R2 F2 R2 U2 R^2 F2) // Fishy (8-8/24)
^: w // Solved (+0/24)

Also flipped 4a4 into 4a1 on the same EO, but 25 optimal
D2 B R' U F // EO (5/5)
U ([L2 U2 R' D2 L U]) // DR 4a4 (7/12)
' L // FLO (1/13)
[] = (R F2 U2 R' D2 R) // DR flip 4a1 (+0/13)

L F U' // EO (3/3)
B' R2 F B2 R B' R' // DR 4a1 (7/10)
F U2 D2 F^ U2 F^' // HTR (6/16)
D2 L2 B2 L2 B2 // Slice (5/21)

^: w // Solved (+0/21)

(L' F U' D' B) // EO (5/5)
(U' R' U2 L' F2 R2 U') // DR 2c4 (7/12)
(R D2 L^' D2 L^ D2 L) // HTR (7/19)
(F2 L2 F2 R2 F2) // Slice (5/24)

^: w // Solved (+0/24)

B' R U B // EO (4/4)
D R B2 U2 R D2 B2 R // DR 2c3 (8/12)
F2 L2 D' B2 D R2 D' // HTR (7/19)
F B' U2 F B' D2 L2 // Solved (7/26)

L' B' // EO (2/2)
D (L R U' L2 B2 U) // DR 4b2 (7/9)
(R2 U2 R U2 F2 R') // HTR (6/15)
(B2 R2 #) // Leave E (2/17)

#: B2 U' D L2 U D' // Solved (6-1/22)

F' (L2 R' F') // EO (4/4)
(L) D' R2 U D' L2 U' R // DR 2c3 (8/12)
U2 B2 U^ L2 U^ L2 U' // HTR (7/19)
F2 U^2 F2 D2 // Slice (4/23)

^: w // Solved (+0/23)

F2 B' R // EO (3/3)
U' B' D' F U2 F D2 L2 F // DR 4a2 (9/12)
L2 U^ + B2 U2 F2 L2 D^' // HTR (7/19)
R2 D2 F2 R2 F2 // Slice (5/24)

^: w // VR f (+0/24)  F | R |
+: E2 // Solved (2-1/25)

B' U F' L R // EO (5/5)
D' F2 U2 R2 U' L2 U' F // DR 4a2 (8/13)
(U^2 R2 U B2 U^2 F2 R2 D') // HTR (8/21)
(L2 U2 L2 F' B L2 F B') // Slice (8-2/27)

^: w // Solved (+0/27)

(U' B' R F) // EO (4/4)
F2 R2 F2 U' L // DR 2c3 (5/9)
U' L2 B2 U^ + B2 U^ // HTR (6/15)
L2 R2 D2 L2 // Slice (4/19)

^: w // VR g (+0) R F R | R F | F |
+: E2 // Solved (2-1/20)

R' U B' R // EO (4/4)
D (R2 B' U2 D2 F U') // DR 2c3 (7/11)
(F R2 F U2 F) // HTR (5/16)
(L2 U2 R2 F2 U2 F2 L2 D2) // Solved (8-1/23)