You are right, now I have properly understood Markovnikov's rule, which states: "when an asymmetric reagent adds to an asymmetric alkene, the electropositive part of the reagent attaches to the carbon atom of the triple/double bond that is bonded to the greatest number of hydrogen atoms."
To summarize:
In the first step, the hydrogen adds to either of the two carbons involved in the triple bond, since both do not have any hydrogen atoms attached. Two secondary carbocations are formed, and both are equally stable. The addition of the chloride ion leads to the formation of 3-chloro-5-methyl-2-ene and 2-chloro-5-methyl-2-ene.
Hydrogen adds to the double bond of both alkenes: a total of 4 secondary carbocations are formed, but the ones that follow Markovnikov's rule are those in which the positive charge is located on the carbon that is bonded to the chlorine.
As a result, 4 products are formed, but the ones that are produced in higher quantities in accordance with Markovnikov's rule are 3,3-dichloro-5-methylhexane and 2,2-dichloro-5-methylhexane.
Now I can say I have a clear understanding? Thank you for your feedback.