The telepath has a natural advantage, unless the usual guy does something to deal with it. There is no particular action the telepath can undertake beyond using their ability and otherwise playing poker.
The usual guy, on the other hand, has only one choice - play blind. Don't look at their cards, and play purely by watching the reactions of the telepath. Having skill at reading reactions, the regular poker player should be able to decide when to play or not, and thus should be able to gain a slight edge relative to any other plan. The best the telepath can do in this situation is to also play blind, in which case it basically becomes a 50% chance of winning for both sides.
Here, the clairvoyant is at a disadvantage, because everything they can read, the telepath can learn from them. As such, the clairvoyant has to use their gift carefully. Under most situations, playing blindly as with the regular player is the only option. However, they can use their gift as a technique to encourage the telepath to reveal the strength of their hand, by seeing certain cards and observing how the telepath responds after reading it from their mind. This can give the clairvoyant a small benefit over the telepath, but a lot still comes down to pure luck.
In this game, the clairvoyant has the advantage, and thus is likely to win. There is no particular strategy available to counter the advantage, as the regular player has to rely on their usual skills while having a lesser amount of knowledge of the hand. That said, some techniques can minimise the issue, and increase the potential for luck to go their way. The clairvoyant will, naturally, read every hand immediately.
If the clairvoyant has a tell, the regular player can use this to their advantage, as they can get some sense of the hand that is coming. By some effective bluffing in the first two rounds of betting, and then observing the reaction of the clairvoyant, they can get a sense of the kind of hand that is coming, and the clairvoyant's own hand. High bets on the first round suggests to the clairvoyant that the regular player has a strong hand, and thus will be confident if they've got a very strong hand or the cards are going to be bad for normally-strong hands, and thus will also be betting high. On the other hand, if they've got a weak hand and the cards are going to favour strong hands (lots of high cards, for instance), they'll bit minimally, or possibly even fold.
The second round of betting can then be used to determine further, in a similar way - observing the clairvoyant's reactions and tells should be enough to minimise the impact of their gift, but there's no way to completely neutralise it - that is, the clairvoyant will always have more information, and thus will always have a better than 50% chance of winning.