We have a following encounter for the Independence Square location:
You touch Founder's Rock. Make a Luck (-1) check. If you pass, there is an electrifying shock that opens your mind to the elder things of eons past. Lose 1 Stamina, but gain 2 Clue tokens and draw 1 Spell. If you fail, you find a strange carving. As you finger the grooves, a gate opens here and you are drawn through it.
I'm interested in "failure" part. We have here an opening gate. Question: Does this gate remain open further on and acts in all regards as a gate opened during Mythos phase? And second, does it increase the doom track?
In FAQ it is written:
Q: When a location card says “a gate and a monster
appear,” is a doom token added to the doom track?
A: Yes.
I assume it works the same here, but just without a monster. But I need confirmation. Thanks.