Companies are mostly doing layoffs because interest rates went up and using AI hype as cover. The anti-inflationary force is the higher interest rates. And if AI was actually lowering the cost of that sort of thing then you still have to contend with the Jevons paradox.

Meanwhile the hype is causing things to be converted to "AI" even when it isn't any more efficient, which lowers labor demand (suppresses wages / increases unemployment, bad) and increases power demand (higher electricity prices, bad) and to the extent that hype causes adoption of inferior solutions, lowers efficiency (worthless AI customer service, bad). Some of the AI stuff is useful but the hype is causing folly.

Migration isn't particularly deflationary, especially with respect to housing prices since the new residents then increase housing demand, which is fine when construction isn't constrained by zoning but bad when it is, and right now, it is.

Most of the outsourcing that can reasonably happen already has, in large part because the US housing market (and therefore cost of living) has been out of whack for a long time, which makes US workers less competitive despite what would otherwise be various countervailing advantages. Things are made in China because they fit on a container ship, but that happened decades ago. Nurses and landscapers and firefighters and plumbers are still domestic and that isn't likely to change.