Add Sign Up functionality to desktop app (#5244)

# Description of Changes
Adds Sign Up with email to desktop app. SSO sign up will come in a
future PR.

frontend/src-tauri/Cargo.lock

@@ -589,6 +589,26 @@ dependencies = [
  "crossbeam-utils",
 ]
 
+[[package]]
+name = "const-random"
+version = "0.1.18"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "87e00182fe74b066627d63b85fd550ac2998d4b0bd86bfed477a0ae4c7c71359"
+dependencies = [
+ "const-random-macro",
+]
+
+[[package]]
+name = "const-random-macro"
+version = "0.1.16"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f9d839f2a20b0aee515dc581a6172f2321f96cab76c1a38a4c584a194955390e"
+dependencies = [
+ "getrandom 0.2.16",
+ "once_cell",
+ "tiny-keccak",
+]
+
 [[package]]
 name = "convert_case"
 version = "0.4.0"
@@ -716,6 +736,12 @@ version = "0.8.21"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d0a5c400df2834b80a4c3327b3aad3a4c4cd4de0629063962b03235697506a28"
 
+[[package]]
+name = "crunchy"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "460fbee9c2c2f33933d720630a6a0bac33ba7053db5344fac858d4b8952d77d5"
+
 [[package]]
 name = "crypto-common"
 version = "0.1.6"
@@ -908,6 +934,15 @@ dependencies = [
  "syn 2.0.108",
 ]
 
+[[package]]
+name = "dlv-list"
+version = "0.5.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "442039f5147480ba31067cb00ada1adae6892028e40e45fc5de7b7df6dcc1b5f"
+dependencies = [
+ "const-random",
+]
+
 [[package]]
 name = "document-features"
 version = "0.2.12"
@@ -1626,6 +1661,12 @@ dependencies = [
  "ahash",
 ]
 
+[[package]]
+name = "hashbrown"
+version = "0.14.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e5274423e17b7c9fc20b6e7e208532f9b19825d82dfd615708b70edd83df41f1"
+
 [[package]]
 name = "hashbrown"
 version = "0.16.0"
@@ -2820,6 +2861,16 @@ version = "0.2.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "04744f49eae99ab78e0d5c0b603ab218f515ea8cfe5a456d7629ad883a3b6e7d"
 
+[[package]]
+name = "ordered-multimap"
+version = "0.7.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49203cdcae0030493bad186b28da2fa25645fa276a51b6fec8010d281e02ef79"
+dependencies = [
+ "dlv-list",
+ "hashbrown 0.14.5",
+]
+
 [[package]]
 name = "ordered-stream"
 version = "0.2.0"
@@ -3651,6 +3702,16 @@ dependencies = [
  "syn 1.0.109",
 ]
 
+[[package]]
+name = "rust-ini"
+version = "0.21.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "796e8d2b6696392a43bea58116b667fb4c29727dc5abd27d6acf338bb4f688c7"
+dependencies = [
+ "cfg-if",
+ "ordered-multimap",
+]
+
 [[package]]
 name = "rust_decimal"
 version = "1.39.0"
@@ -4256,6 +4317,7 @@ dependencies = [
  "sha2",
  "tauri",
  "tauri-build",
+ "tauri-plugin-deep-link",
  "tauri-plugin-fs",
  "tauri-plugin-http",
  "tauri-plugin-log",
@@ -4615,6 +4677,27 @@ dependencies = [
  "walkdir",
 ]
 
+[[package]]
+name = "tauri-plugin-deep-link"
+version = "2.4.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6e82759f7c7d51de3cbde51c04b3f2332de52436ed84541182cd8944b04e9e73"
+dependencies = [
+ "dunce",
+ "plist",
+ "rust-ini",
+ "serde",
+ "serde_json",
+ "tauri",
+ "tauri-plugin",
+ "tauri-utils",
+ "thiserror 2.0.17",
+ "tracing",
+ "url",
+ "windows-registry",
+ "windows-result 0.3.4",
+]
+
 [[package]]
 name = "tauri-plugin-fs"
 version = "2.4.4"
@@ -4735,6 +4818,7 @@ dependencies = [
  "serde",
  "serde_json",
  "tauri",
+ "tauri-plugin-deep-link",
  "thiserror 2.0.17",
  "tracing",
  "windows-sys 0.60.2",
@@ -4954,6 +5038,15 @@ dependencies = [
  "time-core",
 ]
 
+[[package]]
+name = "tiny-keccak"
+version = "2.0.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "2c9d3793400a45f954c52e73d068316d76b6f4e36977e3fcebb13a2721e80237"
+dependencies = [
+ "crunchy",
+]
+
 [[package]]
 name = "tiny_http"
 version = "0.12.0"