Switch from Non-Stem to Stem 24 month extension

[bongoz]

i grauated with USA engineering stem degree in 2017
I graduated with a NON-stem masters degree in 2019. i'm on NON-stem OPT expiring June 2020. I work in IT for a NonProfit.

I was offered a job today by a for-profit enginering corporation.
Can I start work there asap on a non stem opt? or Should I wait for the stem opt EXTSNSION to be approved first before i switch to the for-profit enginering corporation?
Should my current employer apply for my stem extension(then i switch after) or the company that offered me today.

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