Upgrade Alacritty to respect ~/.hushlogin (#25224)

Closes #4827

Release Notes:

- Fixed a bug where shells spawned by the Zed terminal would not hide
the login message when `~/.hushlogin` exists

Cargo.lock

@@ -83,9 +83,8 @@ dependencies = [
 
 [[package]]
 name = "alacritty_terminal"
-version = "0.25.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5bccc2e60c2112dc8e8a722d6d30f2bb1a6a7b5d0e65fa695e09e57415dca7f7"
+version = "0.25.1-dev"
+source = "git+https://github.com/zed-industries/alacritty.git?rev=03c2907b44b4189aac5fdeaea331f5aab5c7072e#03c2907b44b4189aac5fdeaea331f5aab5c7072e"
 dependencies = [
  "base64 0.22.1",
  "bitflags 2.8.0",
@@ -14861,26 +14860,16 @@ dependencies = [
 
 [[package]]
 name = "vte"
-version = "0.13.1"
+version = "0.15.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "9a0b683b20ef64071ff03745b14391751f6beab06a54347885459b77a3f2caa5"
+checksum = "a5924018406ce0063cd67f8e008104968b74b563ee1b85dde3ed1f7cb87d3dbd"
 dependencies = [
+ "arrayvec",
  "bitflags 2.8.0",
  "cursor-icon",
  "log",
+ "memchr",
  "serde",
- "utf8parse",
- "vte_generate_state_changes",
-]
-
-[[package]]
-name = "vte_generate_state_changes"
-version = "0.1.2"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "2e369bee1b05d510a7b4ed645f5faa90619e05437111783ea5848f28d97d3c2e"
-dependencies = [
- "proc-macro2",
- "quote",
 ]
 
 [[package]]