bump latest lightning deps (#2170)

**Context:**
Along with the development of v0.44 more and more deprecations and
breaking changes are coming into lightning. For example, the one at
`dev11` is introducing blockage for further deprecation on-going in
PennyLane PennyLaneAI/pennylane#8533

**Description of the Change:**

**Benefits:**

**Possible Drawbacks:**

**Related GitHub Issues:**

Author: JerryChen97

.dep-versions

@@ -14,4 +14,4 @@ pennylane=0.44.0.dev20
 
 # For a custom LQ/LK version, update the package version here and at
 # 'doc/requirements.txt'
-lightning=0.43.0
+lightning=0.44.0-dev11

doc/requirements.txt

@@ -31,6 +31,6 @@ lxml_html_clean
 
 # Pre-install PL development wheels
 --extra-index-url https://test.pypi.org/simple/
-pennylane-lightning-kokkos==0.43.0
-pennylane-lightning==0.43.0
+pennylane-lightning-kokkos==0.44.0-dev11
+pennylane-lightning==0.44.0-dev11
 pennylane==0.44.0.dev20