Re-entering the US for the third time in 3 consecutive months

I went to the US for vacation in the middle of June, then came back to my home country for two weeks. Went back to the US in the middle of July then came back home. Both times on ESTA. Now I just got an F-1 visa and want to go back there ASAP which would be when my visa comes out (around 15th of August), this time though I'd stay for a whole semester. Both my past trips had almost the same duration, 10-14 days and I was away for two weeks in between the two, and 2 weeks would be the exact same time period until my next trip.

My question is: Would customs be suspicious and possibly deny me entry to the country if both my times out of the country had the same duration? Of course I can explain to them that during June/July I was on vacation and really wanted to come go to the US after the first trip, but would that situation be too weird for them to the point where I'd be denied entry?

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How many times can you visit America in a year?

There is no limit on the number of times you may enter the U.S. under either ESTA of a visa. However, if reentering the U.S. using ESTA soon after staying for nearly 90 days, you can expect to be questioned in detail by the immigration officer about the purpose of your visit.

How long do you have to leave the US before returning?

There is no set period you must remain outside the USA before returning but: "When traveling to the U.S. with the approved ESTA, you may only stay for up to 90 days at a time - and there should be a reasonable amount of time between visits so that the CBP Officer does not think you are trying to live here.

Can I come back to the US after staying for 6 months?

Maximum Period of Authorized Stay Therefore, a person who stays for six months and, instead of applying to extend their visit inside the U.S. if they are a visa holder or a Canadian, departs and attempts to return to the U.S. in less than six months from the departure date, will be barred from re-entry for six months.

How often can a foreigner visit the US?

The B1/B2 Visa is valid for 10 years, but for each entry, you are allowed to stay in the United States of American only for 180 days or 6 months (at most).

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