Removing dependency on AI Inference from AI Projects library (#45351)

Author: jayantjha

eng/versioning/external_dependencies.txt

@@ -36,7 +36,6 @@ com.microsoft.azure:qpid-proton-j-extensions;1.2.5
 com.microsoft.sqlserver:mssql-jdbc;10.2.3.jre8
 com.microsoft.azure:azure-functions-maven-plugin;1.30.0
 com.microsoft.azure.functions:azure-functions-java-library;2.2.0
-com.azure:azure-ai-inference;1.0.0-beta.4
 com.mysql:mysql-connector-j;9.0.0
 com.openai:openai-java;1.3.1
 com.squareup.okhttp3:okhttp;4.12.0

sdk/ai/azure-ai-projects/pom.xml

@@ -76,7 +76,7 @@ Code generated by Microsoft (R) TypeSpec Code Generator.
     <dependency>
       <groupId>com.azure</groupId>
       <artifactId>azure-ai-inference</artifactId>
-      <version>1.0.0-beta.4</version>  <!-- {x-version-update;com.azure:azure-ai-inference;external_dependency} -->
+      <version>1.0.0-beta.5</version>  <!-- {x-version-update;com.azure:azure-ai-inference;current} -->
     </dependency>
     <dependency>
       <groupId>com.azure</groupId>