Use Savings to Buy Home or Land
If you can find a lower priced smaller home (starter home) that you can afford, you can go directly to buying a home. This includes pooling funds to buy an apartment building and converting it to a condo. Otherwise start buying land to build starter home. Land opportunities include land with building(s) on it with room to add building.
Examples of American Teenagers buying homes
Land Prices in Urban Area

Land price is typically higher closer to a city center. It is also higher in areas with better schools, more amenities, and lower crime rates.
The city of Houston allows 1600 ft2 lot for a single family home, and no limit for courtyard style.
Since a duplex can be treated as a single family home, owning one unit of a duplex in 1600 ft2 land means owning 800 ft2 land. If land price is $20/ft2, that 800 ft2 would cost $16k.
It is more difficult to get a loan to buy land, especially when you are young. Consider borrowing money from family members if you've saved up 20% for a land purchase.
Alternatively, you can put savings into a land fund to buy a share in land until you save up enough to buy your own parcel of land.
Land ownership may be used to replace down payment when building home. If you decide to move, you can sell the land (and the home if built), likely at higher price (use 1031 or similar to avoid paying capital gain tax), and buy another parcel of land or home.
Land Appreciation Example

This 3.2 acres undeveloped land was appraised by Harris County $25k in 2017 and 2018, in 2023 and 2024 appraised $279k. Land value increases as population increases, more people looking for housing and more land needed to build housing. Raw land, or undeveloped land, do not have road or utilities ready, and price is lower as an additional cost will be needed to get it ready. Developed land has road and utilities ready, typically market priced starting $50k per lot.
Land Appreciation Away from Cities

In rural area away from cities, land value is mostly based on agriculture yield.
As this chart shows that soybean yield per acre has been increasing, land value per acre will also be increasing above inflation.
Raw land far from the city could have prices like $0.1/ft2 with sufficient rain for farming, or as low as $0.01/ft2 for large sized desert land.
To build homes on rural land, water and wastewater treatment would be additional cost. If allowed, lowest cost would be composting toilet. If composting toilet not allowed, septic system could be low cost but typically about 1 acre land is required per home. For higher density, wastewater treatment plant would be required, but cost per home could be low with hundreds homes or more.