interview context and timeline question

interview process context:

So I interviewed three times for a job. it’s an industrial hygiene consulting job.

the first was the initial 30 minute hr screening. went pretty good i thought. got an email about two weeks later saying the lead wanted to interview me.

so the next one was with the lead i’d be working under. it went insanely well and she didn’t even put in an effort to keep a poker face. she was clearly impressed and even said it sounds like all we’d have to do is train you to use the equipment. towards the end of the interview she said the person who seems to be the best fit for the job would move on to the next interview. at least that’s how she worded it.

got an email a few days later saying she wanted me to do a “final” interview with her manager. i interviewed with him and it went just as great if not better. he told me tell him about myself and so i did. gave him my background, my career experience so far, what i’ve learned from it and things that i’ve been good at. by the time i finished speaking he said well id normally have questions for you but you just did a great job at answering them all. no further poking into my resume or asking about weaknesses. we went on to me asking him questions and him going into detail about the industry and his company. it went super well. talked about how the lead will be my manager and went into detail what my training would be like and where. towards the end he said it was a pleasure talking to me and “let’s see if we can get you out (insert state)” and that he looked forward to speaking with me soon. this was two days ago.

question:

i guess i’m wondering when could i expect to get an offer letter? or should i be expecting a rejection? how long does it usually take? idk this is the best set of interviews ive ever had and im anxious to get out of job/state im currently in.