You have quite a cheerful and lively personality but at times you would be under confident for no reason, which you may like to look into.
As per your chart, yes, you would be able to have your own house. You are in the right time line currently and the upcoming time from Jan 2025 onwards is quite favourable to you from an overall perspective and you could achieve your objective thereafter.
You will have all the comforts of your own home and you would lead a satisfactory life.
Best Wishes.
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Mithuna Lagna with the Lagna lord and the fourth lord Mercury posited in the third house conjunct third lord Sun and Jupiter; Mars conjunct Ketu posited in the Lagna; Venus posited in the fourth house; Sun MD ongoing and Mercury AD starts from Jan 2025.