There are three feelings:
DN34:1.4.11: sukhā vedanā, dukkhā vedanā, adukkhamasukhā vedanā.
DN34:1.4.11: pleasant, painful, and neutral.
Sukhā vedanā (e.g., "joy of sex") is prone to relishing which leads to suffering.
MN1:172-194.26: Because he has understood that relishing is the root of suffering,
How then should we practice?
DN34:1.2.5: What one thing should be developed?
DN34:1.2.6: Kāyagatāsati sātasahagatā.
DN34:1.2.6: Mindfulness of the body that is full of pleasure.
Note that sātasahagatā is not the same as sukhā vedanā. Indeed sātasahagatā is the subtle ease brought about by the relinquishing of stressful grasping at good feeling.
Sātasahagatā can be understood as "frictionless ease". Sātasahagatā is equally applicable to the sublime ease of meditation and it is also applicable to the spinning of a jet engine at full throttle.
So if "good feeling" means "grasping at pleasure", then yes, we can choose delight and suffering endlessly. Yet if we understand "good feeling" as sātasahagatā then we can also understand that right mindfulness leads to extinguishment.
AN8.63:3.1: Yato kho te, bhikkhu, ayaṁ samādhi evaṁ bhāvito hoti bahulīkato, tato tvaṁ, bhikkhu, imaṁ samādhiṁ savitakkampi savicāraṁ bhāveyyāsi, avitakkampi vicāramattaṁ bhāveyyāsi, avitakkampi avicāraṁ bhāveyyāsi, sappītikampi bhāveyyāsi, nippītikampi bhāveyyāsi, sātasahagatampi bhāveyyāsi, upekkhāsahagatampi bhāveyyāsi.
AN8.63:3.1: When this immersion is well developed and cultivated in this way, you should develop it while placing the mind and keeping it connected. You should develop it without placing the mind, but just keeping it connected. You should develop it without placing the mind or keeping it connected. You should develop it with rapture. You should develop it without rapture. You should develop it with pleasure. You should develop it with equanimity.
Sātasahagata itself must be relinquished on the path. Sātasahagata still is tangled with intention. Notice that the Buddha points to equanimity.