Add a new tab to your BuddyPress Profile page to show a user's Membership Account information.

pmpro_membership_buddypress_tab.php

<?php
/**
 * Add a new tab to your BuddyPress Profile page to show a user's Membership Account information.
 *
 */
function pmpro_membership_buddypress_tab() {
	global $bp;

	if ( function_exists( 'pmpro_hasMembershipLevel' ) && pmpro_hasMembershipLevel() ) {
		bp_core_new_nav_item( array( 
			'name' => __( 'Membership', 'pmpro' ), 
			'slug' => 'membership', 
			'position' => 100,
			'parent_url'      => bp_loggedin_user_domain() . '/membership/',
			'parent_slug'     => $bp->profile->slug,
			'screen_function' => 'pmpro_buddypress_membership',
			'show_for_displayed_user' => false,
			'item_css_id' => 'pmpro_buddypress_membership',
			'default_subnav_slug' => 'membership'
		) );
	}
}
add_action( 'bp_setup_nav', 'pmpro_membership_buddypress_tab', 1000 );

// screen_function for Membership tab in BuddyPress Profile.
function pmpro_buddypress_membership () {
	add_action( 'bp_template_title', 'pmpro_buddypress_membership_title' );
	add_action( 'bp_template_content', 'pmpro_buddypress_membership_content' );
	bp_core_load_template( 'buddypress/members/single/plugins' );
}

// Title displayed on Membership tab in BuddyPress Profile.
function pmpro_buddypress_membership_title() {
	_e( 'Membership', 'pmpro' );
}

// Content displayed on Membership tab in BuddyPress Profile.
function pmpro_buddypress_membership_content() {
	echo do_shortcode('[pmpro_account]');
}

This recipe is included in the blog post on "Add Membership Account Information to Your Member’s BuddyPress Profile" at Paid Memberships Pro here: https://www.paidmembershipspro.com/add-membership-account-information-to-your-members-buddypress-profile/