Get reports with multiple condition filters for Google Analytics Reporting API v4

SampleFilterAnalytics.php

<?php

// composer require google/apiclient

/**
 * @link https://developers.google.com/analytics/devguides/reporting/core/v4/quickstart/service-php
 * @link https://developers.google.com/analytics/devguides/reporting/core/v4/samples
 * @link https://developers.google.com/analytics/devguides/reporting/core/v4/rest/v4/reports/batchGet
 */

// Load the Google API PHP Client Library.
require_once __DIR__ . '/vendor/autoload.php';

$analytics = initializeAnalytics();
$response = getReport($analytics);
printResults($response);

/**
 * Initializes an Analytics Reporting API V4 service object.
 *
 * @return An authorized Analytics Reporting API V4 service object.
 */
function initializeAnalytics()
{

    // Use the developers console and download your service account
    // credentials in JSON format. Place them in this directory or
    // change the key file location if necessary.
    $KEY_FILE_LOCATION = __DIR__ . '/service-account-credentials.json';

    // Create and configure a new client object.
    $client = new Google_Client();
    $client->setApplicationName("Hello Analytics Reporting");
    $client->setAuthConfig($KEY_FILE_LOCATION);
    $client->setScopes(['https://www.googleapis.com/auth/analytics.readonly']);
    $analytics = new Google_Service_AnalyticsReporting($client);

    return $analytics;
}

/**
 * Queries the Analytics Reporting API V4.
 *
 * @param service An authorized Analytics Reporting API V4 service object.
 * @return The Analytics Reporting API V4 response.
 */
function getReport($analytics) {

    // Replace with your view ID, for example XXXX.
    $VIEW_ID = "<REPLACE_WITH_VIEW_ID>";

    // Create the DateRange object.
    $dateRange = new Google_Service_AnalyticsReporting_DateRange();
    $dateRange->setStartDate("7daysAgo");
    $dateRange->setEndDate("today");

    // Create the Dimensions object.
    $pathDimension = new Google_Service_AnalyticsReporting_Dimension;
    $pathDimension->setName("ga:pagePath");

    $titleDimension = new Google_Service_AnalyticsReporting_Dimension;
    $titleDimension->setName('ga:pageTitle');

    // Create the Metrics object.
    $sessions = new Google_Service_AnalyticsReporting_Metric();
    $sessions->setExpression("ga:sessions");
    $sessions->setAlias("sessions");

    // Create the DimensionFilter object.
    $dimensionFilter = new Google_Service_AnalyticsReporting_DimensionFilter();
    $dimensionFilter->setDimensionName('ga:pagePath');
    $dimensionFilter->setOperator('REGEXP');
    $dimensionFilter->setExpressions('^(\/2018)(.*)+\/$');

    $dimensionFilterExclude = new Google_Service_AnalyticsReporting_DimensionFilter();
    $dimensionFilterExclude->setDimensionName('ga:pagePath');
    $dimensionFilterExclude->setOperator('REGEXP');
    $dimensionFilterExclude->setExpressions('^(\/201812)(.*)+\/$');
    $dimensionFilterExclude->setNot(true);

    $dimensionFilterClause = new Google_Service_AnalyticsReporting_DimensionFilterClause;
    $dimensionFilterClause->setFilters([$dimensionFilter, $dimensionFilterExclude]);
    $dimensionFilterClause->setOperator( 'and' );

    // Create the Order object.
    $sessionsOrderByDesc = new Google_Service_AnalyticsReporting_OrderBy;
    $sessionsOrderByDesc->setFieldName('ga:sessions');
    $sessionsOrderByDesc->setSortOrder('DESCENDING');

    // Create the ReportRequest object.
    $request = new Google_Service_AnalyticsReporting_ReportRequest();
    $request->setViewId($VIEW_ID);
    $request->setDimensions([$pathDimension, $titleDimension]);
    $request->setDateRanges($dateRange);
    $request->setMetrics(array($sessions));
    $request->setDimensionFilterClauses($dimensionFilterClause);
    $request->setOrderBys($sessionsOrderByDesc);
    $request->setPageSize(10);

    $body = new Google_Service_AnalyticsReporting_GetReportsRequest();
    $body->setReportRequests( array( $request) );
    return $analytics->reports->batchGet( $body );
}

/**
 * Parses and prints the Analytics Reporting API V4 response.
 *
 * @param An Analytics Reporting API V4 response.
 */
function printResults($reports) {
    for ( $reportIndex = 0; $reportIndex < count( $reports ); $reportIndex++ ) {
        $report = $reports[ $reportIndex ];
        $header = $report->getColumnHeader();
        $dimensionHeaders = $header->getDimensions();
        $metricHeaders = $header->getMetricHeader()->getMetricHeaderEntries();
        $rows = $report->getData()->getRows();

        for ( $rowIndex = 0; $rowIndex < count($rows); $rowIndex++) {
            $row = $rows[ $rowIndex ];
            $dimensions = $row->getDimensions();
            $metrics = $row->getMetrics();
            for ($i = 0; $i < count($dimensionHeaders) && $i < count($dimensions); $i++) {
                print($dimensionHeaders[$i] . ": " . $dimensions[$i] . "\n");
            }

            for ($j = 0; $j < count($metrics); $j++) {
                $values = $metrics[$j]->getValues();
                for ($k = 0; $k < count($values); $k++) {
                    $entry = $metricHeaders[$k];
                    print($entry->getName() . ": " . $values[$k] . "\n");
                }
            }
        }
    }
}

could you please suggest for the following filter pattern

$dimensionFilter1 AND ($dimensionFilter2 OR $dimensionFilter3)