To my knowledge, there is no official requirement for the President to "announce" the Insurrection Act under 10 U.S. Code Subtitle A Chapter 13 Part I - INSURRECTION. Only a requirement to make a Proclamation to Disperse under 10 U.S. Code § 254, and Wartime President Trump made that Proclamation on January 6, 2021.
https://www.youtube.com/wa...

Per Webster's Dictionary, definition of the word "institute":
1) a: to originate and get established : organize
1) b: to set going : inaugurate

He didn't say "sign" it. I reckon that was done years ago, so these dumb INSURRECTIONISTS are probably fooked.
POTUS, after all, has been calling out the "insurrectionists" long time.

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