An interesting read on the trilogy, maybe Palpatine could have picked up on his involvement with everything that has transpired in his conversation with Grievous.
Other than that I feel like the Jedi are too gullible throughout the movies to pose a threat to Palatines plans. In TPM Qui-Gon senses that there is more behind the Federation invasion but he doesn’t investigate and in AOTC does nobody investigate the mystery behind the creation of the clones. Only in ROTS do the Jedi start to suspect Palpatine after he placed Anakin on the council and thereby openly challenged the Jedi.
This makes the plot feel less like a tense game of chess and more like a GM taking on an amateur.