Use int type name consistently (#10579)

# Description
When referring to the type use `int` consistently. Only when referring
to the concept of integer numbers use `integer`.

- Fix `random integer` to `random int` tests
  - Forgot in #10520
- Use int instead of integer in error messages
- Use int type name in bits commands
- Fix messages in `for` examples
- Use int typename in `into` commands
- Use int typename in rest of commands
- Report errors in `nu-protocol` with int typename

Work for #10332 

# User-Facing Changes
User errorrs should now use `int` so you can easily find the necessary
commands or type annotations.

# Tests + Formatting
Only two tests found that needed updating

crates/nu-command/src/network/http/client.rs

@@ -288,7 +288,7 @@ pub fn request_set_timeout(
         let val = timeout.as_i64()?;
         if val.is_negative() || val < 1 {
             return Err(ShellError::TypeMismatch {
-                err_message: "Timeout value must be an integer and larger than 0".to_string(),
+                err_message: "Timeout value must be an int and larger than 0".to_string(),
                 span: timeout.span(),
             });
         }

crates/nu-command/src/network/url/join.rs

@@ -158,7 +158,7 @@ impl UrlComponents {
                             }),
                             Err(_) => Err(ShellError::IncompatibleParametersSingle {
                                 msg: String::from(
-                                    "Port parameter should represent an unsigned integer",
+                                    "Port parameter should represent an unsigned int",
                                 ),
                                 span: value_span,
                             }),
@@ -172,7 +172,7 @@ impl UrlComponents {
                 Value::Error { error, .. } => Err(*error),
                 other => Err(ShellError::IncompatibleParametersSingle {
                     msg: String::from(
-                        "Port parameter should be an unsigned integer or a string representing it",
+                        "Port parameter should be an unsigned int or a string representing it",
                     ),
                     span: other.span(),
                 }),