Here are some of the lefties that I've seen mentioned:
Angels: Jack Dashwood, LHP
Health has been an issue for the 6-foot-6 lefty drafted in 2019 as he’s thrown just 40 innings over the past two seasons combined (10 in 2024). He has a low-90s fastball and a decent mid-80s slider that he used to post a 17/2 K/BB ratio over 10 AFL innings this fall. He’s 27, but could be a potential Rule 5 target as a useful lefty reliever.
Braves: Luis De Avila, LHP (No. 15)
The Braves first got De Avila in the Rule 5 Draft -- the Minor League phase -- in December 2021. At the lower levels of Atlanta's system, he missed bats and got a lot of ground-ball outs in 2022 and 2023. He was effective at Double-A in 2024, with a 3.74 ERA that would have placed him fifth in that category in the Southern League had he thrown enough innings, to go along with a 1.68 GO/AO. He missed a lot fewer bats (79 K’s in 101 IP), but he is a lefty with a track record.
Padres: Jagger Haynes, LHP (No. 20)
The Padres rolled the dice on drafting Haynes as a raw prep lefty in the final round of the shortened 2020 Draft, and he’s shown glimpses of promise without much production. He had Tommy John surgery and didn’t make his official pro debut until 2023, only throwing 25 1/3 innings that year. He was healthy in 2024 with mixed results at High-A, which probably means he’s too far away for real Rule 5 consideration, but his fastball-curve combination from the left side is intriguing.
Of these guys, only Dashwood seems like a guy Breslow would target. Why snag the next Booser in Rule 5 when you can get something better in FA though?