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You can run an in-wall unit for a space like that. They're very efficient now, and the nicer models are both way cheaper than routing central air, and very quiet.

The bigger thing is, if it's a garage, it's likely not insulated, which means you'd have to do so for noise/efficiency. Probably still way better than having a desk in your toddler's room though.

Ah, yes I would imagine cost to do the work in the Bay area would be pretty significant unless you can do much of it yourself. Being nonstructural it's not high risk to DIY but with small kids around that's a big project.

Framing a wall that size 1K. Insulation and drywall 2K. Mini split single zone 3K. Unpermitted contractor level handyman.