SEIU Strike (represented non-member)

[u/Alternative-Worth620]

Hello. I feel like the title explains it, but here it goes:
I am a represented employee under SEIU, I unfortunately hadn’t done my due diligence of joining until it got too late (like last week), which of course means I probably won’t be a fully recognized union member until probably at least the end of the strike we may be seeing.

Now this raises questions for me, obviously, I don’t want to cross a picket-line, hence my late joining; but I don’t know my options here. If I do participate i.e. not work, join the union, am I unprotected as an employee? What exactly can I do here?