The word audarya is derived from udara, meaning liberal or magnanimous. The Nyanyakandali explains it as discernment that invariably follows the right path (satatam sanmargavartini buddhir audaryam). This discernment is nothing other than a wider outlook.
Devanagari
अयं निजः परो वेति गणना लघुचेतसाम्।
उदारचरितानां तु वसुधैव कुटुम्बकम्॥
त्वयि मयि चान्यत्रैको विष्णुर्व्यर्थं कुप्यसि मय्यसहिष्णुः।
भव समचित्तः सर्वत्र त्वं वाञ्छस्यचिराद्यदि विष्णुत्वम्॥
Transliteration
ayam nijah paro veti ganana laghucetasam |
udaracaritanam tu vasudhaiva kutumbakam ||
tvayi mayi canyatraiko visnur-vyartham kupyasi mayyasahisnuh |
bhava samacittah sarvatra tvam vañchasy-acirad-yadi visnutvam ||
Translation
Maha Upanishad (6.71): “This is mine and that is another’s” is the calculation of narrow-minded people. For the magnanimous, however, the whole earth is but one family.
Bhaja Govindam (Verse 24/25): In you, in me, and elsewhere, there is but one Vishnu (the All-Pervasive). You are angry with me in your intolerance for nothing. If you aspire to attain the state of Vishnu quickly, be equal-minded (equanimous) toward everything and everyone.

Muni's Play