Should I follow-up with the editor for a TMLR paper awaiting final decision? [D]

Hi there,

I have a (long) paper that's been under review at TMLR for a while (submitted in October). After the reviews came in (mostly positive), we addressed the reviewers concerns, wrote rebuttals, and had a notification from the system according to which the final recommendations from the reviewers would be given in late March at the latest. We are now in May and are still waiting to hear anything back from either reviewers or the editor. I get that two months is not such a huge amount of time in the peer-review world, but for TMLR which is supposed to have a fast-paced process, I'm starting to worry. Time is also a bit sensitive as I am on the job market and having this paper accepted would surely help.

Under these circumstances, would it be appropriate to send a gentle reminder to the Action Editor to follow-up on the paper's status, or would it be seen as too pushy? If I follow up, should I send him an email or do it through openreview (like writing an official comment visible to the action editor only)? And would it be appropriate to mention that this is "time-sensitive" for me? It's my first time handling this kind of situation and don't want to make a faux-pas, so I'm asking for advice here from more experienced people.

Thanks in advance