I'm currently learning the Desire Form of the verbs and I'd like to know why in this phrase, it's used 行き and not 行きたい.
私はショッピングモールに行き、自分のために服を買いたい
The たい form should be added only at the last verb? Like in this case that it goes to the 買います verb. Is that a rule? Does it work for other verb conjugations such as Past and/or Conditional?