The entire infinitive phrase in this sentence is to point out your responsibilities as a dedicated student. If you only need the infinitive, that would to to point out - but a phrase is usually longer and entails words after the infinitive as well. Infinitives are relatively easy to spot - they are formed by adding the word TO in front of the verb itself.
The phrase is used as a noun in this sentence - as a direct object of the verb to wish, to be more precise. You can easily determine this by asking What do I wish? To point out.... Even though to point out is obviously a verb, the way it is used in this sentence (direct object) makes it a noun in this context.
