$\text{CFL but not DCFL}.$
Check what kind of strings are present in the language-
$L = L_1 \cup L_2 \cup L_3\\L_1 = \{a^ p b^ q c^r | p\neq q \ and \ p,q,r \geq 0 \}\\L_2 = \{a^ p b^ q c^r | p\neq r \ and \ p,q,r \geq 0 \}\\L_3 = \{a^ p b^ q c^r | q\neq r \ and \ p,q,r \geq 0 \}$
All are $CFL's$ so their $union$ is also $CFL.$