The infinitive phrase in the sentence is "to help you". It functions as the direct object of the verb "would like".
Example sentence - He would venture out after the winter snow melted and spring came to the mountains.
To help you
To help you
To vacation in Hawaii
To vacation in Hawaii
To vacation in Hawaii
to vacation in Hawaii
The firsrt priority in this venture is to make money.
"Wishing" can function as both a gerund and a present participle, depending on its usage in the sentence. As a gerund, it acts as a noun and functions as the subject or object of a sentence. As a present participle, it is part of a verb phrase and shows ongoing action. It is not an infinitive form, which would be "to wish," where "to" is the infinitive marker.
If you were to quote correctly the sentence we could venture an answer.
The word jogging is not simply an infinitive. An infinitive is [to + a verb]. To jog would be an infinitive.