Both forms are correct. To and too are two correct forms, but unless very similar spelling, they have completely different functions in the sentence. To is a preposition, which means that it is a word used before a noun, noun phrase, or pronoun that expresses the relation to another word. To is also a part of an infinitive structure of verbs – the to-infinitive. As far as to does not carry any specific meaning itself, it is an important part of the meanings of other structures. On the other hand, we have too, which is an adverb that can be used in different contexts.

Correct spelling, explanation: a preposition, please read the definition and examples.

Correct spelling, explanation: a simple adverb with a few possible meanings, please read the definition and examples.

How to use to?:
– the to-infinitive: to is used before a verb to show that it is the infinitive;
I need to prepare for the exam next week.
– preposition of direction or destination;
We are going to Spain on holiday next month.
– used with verbs like give, hand, send, and write to indicate the receiver of an action;
I sent a thank-you note to Jane after my birthday party.
– a preposition of time; to tell the exact time or with the expression from … to…;
I need to leave a quarter to six to catch the plane and will be gone from Monday to Thursday.
– to refer to an approximate number;
We still need five to eight more vendors for the Christmas fair.
This preposition can also be used after some nouns (direction, destination, means of transport, reactions, and responses), verbs (be used, get used, listen, look forward, object, reply, respond) or adjectives (connected with behavior or feelings) to indicate specific meanings.

Definition of too:
adverb: more than required, more than enough;
This car is too expensive, we need to choose one in our price range.
– in addition;
I would like to read it too.
– very, completely;
I don’t feel too well, I think I might have caught a cold.