When quitting your job, is it okay to give them 3 weeks notice instead of 2 weeks notice?

I plan on giving my 3 weeks notice on this Friday. And have my last day be Friday, May 29th.

Do you think this is too much of a notice and too generous and a possibility that I could be terminated?

Should I just wait until next Friday to give it?
Updates
1 mo
Funny enough I just got asked when I can start a new job just now. They are looking for someone immediately so I may just be giving that 2 weeks for May 22nd instead. We'll see...
Updates
1 mo
If they fire me, then I can start that job asap.
When quitting your job, is it okay to give them 3 weeks notice instead of 2 weeks notice?
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