I suppose that all depends on what you are looking for. Three months into lessons really isn't very far so you aren't at all that much of an advantage over a new partner. Three years would be a different story.

It can be hard to get a partner so if you already know one you are at an advantage. Still...there are frustrations that go with partnerships.

As far as being at the same level, that's as rare as hen's teeth even if you've been dancing the same amount of time with the same people. You will have better dances and vice versa. You may have talents your partner doesn't share and again vice versa.

It is more economical to have a partner and it means you can compete at an amateur level and you have a practice partner built in. It is up to you and what you want out of dancing.

I agree with Belle, three months is not very long. Are you male or female? If you are male and have some skill at leading, it should not take long for the woman to catch up. Women tend to learn quicker in the beginning, IMHO. If you are female, then again, I agree with Belle, partners are hard to find and you shouldn't dismiss one without a good tryout period.