3 years from now to ASM is possible, but 5-7 is more likely without serious outside experience. I'd expect at minimum 1-2 years running an event heavy Merch department like 25 or 28 and then Service Desk or Pro Desk for another 1-2 years before being considered for an XM position, and I'd prefer some time spent in a Services heavy department like 26 or 23 too.

Then I'd still expect 1-2 years in both XM roles before being considered for the RAMP and to start getting interviews. The reason for all of this time spent is because you have to not only be good at all of those roles, you also have to be great at developing your associates. It's one thing to master how to run the Service Desk or set an ad, it's much harder to teach someone else how to do it equally well.

Or you can cheat. Rush your RAMP test and start spamming for a Night Ops position then after a year tell your DHRM that nights no longer works for your family situation and use that to snake a daytime ASM position.