"I like to swim" could mean both but I would take "enjoyment" as the main meaning. If it were "I like to swim three times a week" then I would understand "I try to go three times a week". It does not necessarily mean that the person enjoys swimming. It's possible that they have been told that it is very good exercise so they go three times a week. They have decided that three times a week is the optimum frequency, perhaps.
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