Actually there are 3 ways (of kamma), not four ("ultimatly" one incharge of the others, mind).
"Don't support others..." can be made in three ways as well, and the teachings are full of repeating about the kamma by own physical deeds (kaya-kamma), by verbal deeds (vicāra-, this included signs and gestures as well) and by mind/thoughts (citta-, approval, taking in account for ones own benefit, agreement, joy..., ignorance).
Kammapathapeyyālaṃ might possible give ways to approve.
To protect ones Sila, only one is required: either right view (than it would work out by itself), or strong faith into it, if not gained yet. Silas without the protection of right view are not really Silas but just better or more worse rituals, not penetrating till the mind.
If sensedoor are not guided one breaks the Silas (as factors of the path) actually all the time, steals/kills forms, sounds, smells, tastes, touches, thoughts. Having no silas, there will be no samma samadhi > no pañña > no right release: mostly just nurishing defilements. Without leaving home and become homeless (leaving the senses behind), it's not possible to develope the path, Silas, Samādhi, Pañña and gain release.
[Note: this is a gift of Dhamma and not meant for any worldly exchange and trade]