Where The Walk Steps Next

A node2vec walk on an unweighted graph just moved from $t$ to $v$ . Node $v$ has exactly three neighbours:

neighbour	shortest-path distance from $t$
$t$	0
$x_1$	1
$x_2$	2

The unnormalised transition weight is $\alpha_{pq}(t,x)$ , equal to $1/p$ when the distance is 0, $1$ when it is 1, and $1/q$ when it is 2. With $p = 0.5$ and $q = 2$ , what is the probability that the walk's next step goes back to $t$ ?

$0.5$

$4/7 \approx 0.571$

$1/3 \approx 0.333$

$1/7 \approx 0.143$