Regardless, whether it's 2 years or 3 years, to do the lifestyle you're suggesting takes and incredible amount of willpower to be willing to sacrifice and prioritize. It's passing up that cell phone upgrade. It's cutting discretionary spending to zero. It's passing on happy hour and bringing lunch every day.
While feasible, it's hard.. but suffering for two years to benefit for a decade. Quite possibly worth it.
It is easy to end up spending double rent on a comparable place. The difference is for now at least the home you buy can grow nicely so you need to do the math on rate of return for that vs other uses of that cash.
When I bought my first home my loan (P+I) payment was $1300 per month on average (paid every 2 weeks), which was not only affordable but cheaper than what I was renting at once you accounted for interest deductions! But the taxes were somewhere around $500 a month after the township raised local property tax by the maximum year after year. Due to average daily balance laws and escrow regulations, we often had a substantial amount of money "invested" in to our escrow account.
There was no amount of deductions to make this home an asset. It pushed a good quality home at a great price to something that now remains completely unoccupied.
My situation is 100% atypical - but I more meant to illustrate how big of an impact property taxes can be.