I'm cautious about recommending a Pinoy/Filipino bridge to people unless they actually have the natural flexibility for it. And it is a genetic thing that varies by population.
For most people of European descent, the looseness of your joints is usually not going to match that of people of Asian descent. So don't think you 'need' to use a Pinoy style because that's how they bridge for the best stability. After all, their super flexible fingers are probably not as stable in other bridge positions as people without hypermobile joints.
(see: benign hypermobility joint syndrome)
My middle knuckles are not capable of any negative flexion so looping my index finger on top of my middle is not really ideal because my middle finger cannot bend inwards to allow much room for the cue. I actually think if your fingers aren't made to bend with negative flexion, the overlapping index finger style of closed bridge can involve too much non-symmetrical pressure on the cue, and sometimes intermediate players get a bit sloppy with their form when they rely too much on clamping down their closed bridge to mitigate problems that are going on in their stroking arm.
I use a closed bridge on probably 80% of my shots, but I avoid clamping down on the cue so I avoid Pinoy and 'old man' looped bridges. I'll show my bridge below, note that this is not the typical 'old man bridge' where you have your index finger wrapped over the cue and tucked on one side of your thumb.. I believe that bridge also causes too much of your flesh to contact the cue and is not as stable as a closed bridge should be.
Step 1: Reach your index finger over and grab the top of your thumb. My joints tend to only want to flex in and not out so when I lock my finger over my thumb like this it takes a LOT of force (50lb weight or more) to make it come undone.
Step 2: Straighten your middle finger and brace it firmly against your thumb, around the middle knuckle.The cue rides between the bony surface of my middle finger and the thumb. My index finger barely touches the cue, if at all. The index finger's real job is rigidly lock the thumb in one position, so that the middle finger can brace against it for a V groove that cannot move. The strong loop also prevents the cue from going anywhere after the shot to avoid a foul hitting other balls.
This closed bridge actually operates like an 'open bridge with a roof' and does not add stability to a sloppy stroke and I think that's a good thing. You don't want that anyway, I'd rather not get any added stroke stability from wrapping a closed bridge around my cue, because I will have to open bridge for when I'm stretched out too far on the table for a closed bridge or bridging high over another ball, and those are the exact wrong times to have to stop relying on a crutch to get your stroke straight through the ball since those are the most difficult shots to cue straight.
I like this particular bridge because it's rock stable even without the flesh of your palm on the table, and compared to Pinoy or other closed bridges, it has minimal surface area in contact with the cue so the cue tends to glide better. The drawback is that this bridge has limited height adjustment and works a little better with a longer bridge length but I can get it as flat or high as I need for any draw or force follow where I'm not obstructed by another ball.
Of course, if your middle finger easily flexes outward, this bridge may not be for you, try the Pinoy.