[summertime42]

In the nicest way possible, get those meetings canceled. Show initiative by simply saying "I will provide an update by the end of the week; let me do my research first."

If the skip-level is refusing to stay out of your lane and not let you do your job, it might be time to dust off the resume. Thankfully, the market is crazy hot for anyone not a junior. Still, that sounds bloody awful; I am sorry you are going through that. :/

And in the best way I can say this, but deadlines don't matter if they are not set by your engineers AND accounting for the time to add unit tests/integration tests/bug fixing/clean code. I've inherited plenty of salvage projects with terrible codebases that eventually get scrapped wholesale and redone from scratch - so if someone tells me to cut corners for bullshit deadlines, I'll push back with those stories and keep the course. Call me cushy/inflexible/unrealistic, but I refuse to write a salvage project of my own.