If this timeline is correct as per the article, it would mean Jill Biden went from her tan shoes, to her teal shoes, back to her tan shoes.

Not just from tan to teal. But also back again.

Check any event prior to the inauguration (tan), check the inauguration or gift ceremony (teal), check walk to white house (tan).

These are heels too, so it's not like when a chick slips out of her heels to go to flats for comfort.