Do karma-mishra, yoga-mishra, jnana-mishra bhakti come under sakama bhakti?

Question in Chakravarti Path's commentary he says that certain verses he says this refers to either Karma Mishra, Gyan Mishra, Yoga Mishra, Bhakti so do they all come under Sakam Bhakti? not necessarily, generally Sakam refers to that in which there are material desires for some kind of enjoyment normally whenever there is generally Yoga Gyan, and even when we talk about Karma Mishra, that is talking more about Karma Yoga, so there generally the desire is not so much for enjoyment of the world as it is for liberation from the world and once the desire for liberation from the world is there then it is not generally considered as Sakam Bhakti these are all categories of Nishkam Bhakti but they are not Shuddha Bhakti now if we look from a point of view of pure devotional service sometimes it may be said that even the desire for liberation is a Kamana, it is selfish desire, but then you see, there Akama, one who is free from all desires, and Moksha Kama, so there Moksha is also considered to be a Kama so if from that perspective we use it, then even these other Mishra Bhaktis that are there, they will also come under Sakam Bhakti only, but generally when we use the word Sakam it refers to material enjoyment and that's why Nishkam, that's why we generally don't hear of the category like we hear the category Sakam Karma Yoga and Nishkam Karma Yoga but we don't normally hear of the category Sakam Gyan Yoga and Nishkam Gyan Yoga because Gyan Yoga itself is on the foundation that one is going to get liberated while seeking liberation that is the basis of Gyan Yoga and similarly for Ashtam Yoga also so normally they are not considered to be categories of Sakam Bhakti they are categories of Nishkam Bhakti only.