chore: update RNTester Cocoapods to 1.13 (#41248)

Summary:
This PR updates the internal version of cocoapods to 1.13, template already uses this version. I've also removed the root folder Gemfile as it's not necessary anymore.

## Changelog:

[INTERNAL] [CHANGED] - Update RNTester Cocoapods to 1.13

Pull Request resolved: #41248

Test Plan:
Check if cocoapods installs correctly by running:

1. `bundle install`
2. `bundle exec pod install`

Reviewed By: dmytrorykun

Differential Revision: D50972135

Pulled By: cipolleschi

fbshipit-source-id: b7d6a4671e641b7b8f50242a3374f623e023daf4

Gemfile

@@ -3,5 +3,5 @@ source 'https://rubygems.org'
 # You may use http://rbenv.org/ or https://rvm.io/ to install and use this version
 ruby ">= 2.6.10"
 
-gem 'cocoapods', '~> 1.12'
+gem 'cocoapods', '~> 1.13'
 gem 'activesupport', '>= 6.1.7.3', '< 7.1.0'

Gemfile.lock

@@ -9,19 +9,19 @@ GEM
       minitest (>= 5.1)
       tzinfo (~> 2.0)
       zeitwerk (~> 2.3)
-    addressable (2.8.1)
+    addressable (2.8.5)
       public_suffix (>= 2.0.2, < 6.0)
     algoliasearch (1.27.5)
       httpclient (~> 2.8, >= 2.8.3)
       json (>= 1.5.1)
     atomos (0.1.3)
     claide (1.1.0)
-    cocoapods (1.12.0)
+    cocoapods (1.14.2)
       addressable (~> 2.8)
       claide (>= 1.0.2, < 2.0)
-      cocoapods-core (= 1.12.0)
+      cocoapods-core (= 1.14.2)
       cocoapods-deintegrate (>= 1.0.3, < 2.0)
-      cocoapods-downloader (>= 1.6.0, < 2.0)
+      cocoapods-downloader (>= 2.0)
       cocoapods-plugins (>= 1.0.0, < 2.0)
       cocoapods-search (>= 1.0.0, < 2.0)
       cocoapods-trunk (>= 1.6.0, < 2.0)
@@ -33,8 +33,8 @@ GEM
       molinillo (~> 0.8.0)
       nap (~> 1.0)
       ruby-macho (>= 2.3.0, < 3.0)
-      xcodeproj (>= 1.21.0, < 2.0)
-    cocoapods-core (1.12.0)
+      xcodeproj (>= 1.23.0, < 2.0)
+    cocoapods-core (1.14.2)
       activesupport (>= 5.0, < 8)
       addressable (~> 2.8)
       algoliasearch (~> 1.0)
@@ -45,7 +45,7 @@ GEM
       public_suffix (~> 4.0)
       typhoeus (~> 1.0)
     cocoapods-deintegrate (1.0.5)
-    cocoapods-downloader (1.6.3)
+    cocoapods-downloader (2.0)
     cocoapods-plugins (1.0.0)
       nap
     cocoapods-search (1.0.1)
@@ -58,7 +58,7 @@ GEM
     escape (0.0.4)
     ethon (0.16.0)
       ffi (>= 1.15.0)
-    ffi (1.15.5)
+    ffi (1.16.3)
     fourflusher (2.3.1)
     fuzzy_match (2.0.4)
     gh_inspector (1.1.3)
@@ -72,13 +72,13 @@ GEM
     nap (1.1.0)
     netrc (0.11.0)
     public_suffix (4.0.7)
-    rexml (3.2.5)
+    rexml (3.2.6)
     ruby-macho (2.5.1)
     typhoeus (1.4.0)
       ethon (>= 0.9.0)
     tzinfo (2.0.6)
       concurrent-ruby (~> 1.0)
-    xcodeproj (1.22.0)
+    xcodeproj (1.23.0)
       CFPropertyList (>= 2.3.3, < 4.0)
       atomos (~> 0.1.3)
       claide (>= 1.0.2, < 2.0)
@@ -92,7 +92,7 @@ PLATFORMS
 
 DEPENDENCIES
   activesupport (>= 6.1.7.3, < 7.1.0)
-  cocoapods (~> 1.12)
+  cocoapods (~> 1.13)
 
 RUBY VERSION
    ruby 3.2.0p0

packages/rn-tester/Gemfile

@@ -3,6 +3,6 @@ source 'https://rubygems.org'
 # You may use http://rbenv.org/ or https://rvm.io/ to install and use this version
 ruby ">= 2.6.10"
 
-gem 'cocoapods', '~> 1.12'
+gem 'cocoapods', '~> 1.13'
 gem 'rexml'
 gem 'activesupport', '>= 6.1.7.3', '< 7.1.0'

packages/rn-tester/Podfile.lock

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 PODFILE CHECKSUM: c0120ff99aea9c7141bc22179e0f6be99c81a601