Dudo que yo ir a la fiesta.
a. pueda
b. puedo
c. puedas
d. poder

The correct answer is: pueda.

Explanation:

The present subjunctive is sometimes used as a form of imperative or in subordinate sentences after certain expressions to manifest a present or future action, according to the interpretation allowed by temporary complements.

Spanish governs the use of the present subjunctive in the following situations:

to make a negative assumption about the probability of an event in the present or in the future by means of the expressions: no + believe that, think that, seem to, consider that;

Example: no creo que el tiempo nos acompañe

to describe certain hypothetical conditions or present or future consequences by means of expressions such as: how, though, although, for more than, how much, so that ...;

Example: jugamos al baloncesto, por más que el tiempo no nos acompañe

to indicate the probability of an event in the present or in the future, with adverbs such as: maybe (s), maybe, probably, possibly, hopefully ...;

Example: quizás el tiempo nos acompañe

behind the following phrases or expressions: before, without, when, just, after (of), as, until, while, as soon as;

Example: vamos a jugar al baloncesto hasta que el tiempo nos acompañe

to give a negative order (in all its forms). The positive imperative is only used to give an order with the 1st person of the plural and with the courtesy forms you / you.

Example: ¡no juegues al baloncesto hasta que la lluvia pare!

hope I could help u. good luck!